The Modified Block Iterative Algorithms for Asymptotically Relatively Nonexpansive Mappings and the System of Generalized Mixed Equilibrium Problems

The propose of this paper is to present a modified block iterative algorithm for finding a common element between the set of solutions of the fixed points of two countable families of asymptotically relatively nonexpansive mappings and the set of solution of the system of generalized mixed equilibri...

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Bibliographic Details
Published in:Journal of Applied Mathematics Vol. 2012; no. 2012; pp. 1136 - 1159-281
Main Authors: Wattanawitoon, Kriengsak, Kumam, Poom
Format: Journal Article
Language:English
Published: Cairo, Egypt Hindawi Limiteds 01.01.2012
Hindawi Publishing Corporation
John Wiley & Sons, Inc
Wiley
Subjects:
Algorithms
Asymptotic properties
Banach space
Blocking
Economic models
Iterative algorithms
Mapping
Mathematical analysis
Studies
ISSN:1110-757X, 1687-0042
Online Access:Get full text
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Summary:The propose of this paper is to present a modified block iterative algorithm for finding a common element between the set of solutions of the fixed points of two countable families of asymptotically relatively nonexpansive mappings and the set of solution of the system of generalized mixed equilibrium problems in a uniformly smooth and uniformly convex Banach space. Our results extend many known recent results in the literature.
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ISSN:1110-757X
1687-0042
DOI:10.1155/2012/395760